simplify the following fraction:

18
__
40​

The probability that at most eleven of the thirteen babies are girls 4089/4096. Option D

To calculate the probability that at most eleven of the thirteen babies are girls, we need to consider all possible combinations of boys and girls among the thirteen babies.

The total number of possible outcomes is \(2^{13}\) because each baby has two possible genders (boy or girl) and there are thirteen babies in total.

To find the probability of at most eleven girls, we can sum the probabilities of having zero, one, two, ..., eleven girls among the thirteen babies.

Using the binomial probability formula, the probability of getting exactly k girls in a group of thirteen babies is given by:

P(k girls) = (13 choose k) *\((1/2)^k\) * \((1/2)^{(13-k)}\)

To find the probability of at most eleven girls, we sum the probabilities for k = 0 to 11:

P(at most 11 girls) = P(0 girls) + P(1 girl) + P(2 girls) + ... + P(11 girls)

Calculating this sum, we find that the probability of at most eleven girls among the thirteen babies is:

P(at most 11 girls) = 11/2048 + 13/4096 + 13/4096 + 11/2048 + 429/8192 + 429/8192 + 143/4096 + 143/4096 + 33/1024 + 33/1024 + 3/128 + 3/128

Simplifying the expression, we get:

P(at most 11 girls) = 4089/4096

Therefore, the correct answer is option D: 4089/4096.

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Answer:

Step-by-step explanation:

0.072=w-3.6w

w= -0.0276923

Answer:

w = 3.672

Step-by-step explanation:

0.072 = w - 3.6

0.072 + 3.6 = w

3.672 = w

A)an = 2*2^(n-1)`. B) `The sum of the first n fractions is `2*(2^n - 1)`.

a. The sequence is a geometric sequence with the first term `a1 = 2` and common ratio `r = 2`.Therefore, the nth term `an` is given by:`an = a1*r^(n-1)`

Substituting `a1 = 2` and `r = 2`, we have:`an = 2*2^(n-1)`

b. To find the sum of the first n terms, we use the formula for the sum of a geometric series:`S_n = a1*(1 - r^n)/(1 - r)

`Substituting `a1 = 2` and `r = 2`, we have:`S_n = 2*(1 - 2^n)/(1 - 2)

`Simplifying:`S_n = 2*(2^n - 1)

`The sum of the first n fractions is `2*(2^n - 1)`.As `n` gets larger and larger, the sum approaches `infinity`.

Thus, the sum is getting closer and closer to infinity.

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The equation of the quadratic function, given the vertex V (4, 3) and point P (-4, 131), is:

f(x) = 2x² - 16x + 35 in standard form.

The equation of a quadratic function given the vertex V and a point P on the function we can use the vertex form of the quadratic equation:

f(x) = a(x - h)² + k

(h, k) represents the coordinates of the vertex.

Given:

Vertex V: (4, 3)

Point P: (-4, 131)

Using the vertex V (4, 3), we can substitute the values into the vertex form equation:

f(x) = a(x - 4)² + 3

Now, we can substitute the coordinates of the point P (-4, 131) into the equation:

131 = a(-4 - 4)² + 3

Let's solve this equation to find the value of 'a':

131 = a(-8)² + 3

131 = 64a + 3

128 = 64a

a = 128/64

a = 2

Substituting the value of 'a' into the equation:

f(x) = 2(x - 4)² + 3

Expanding and simplifying:

f(x) = 2(x² - 8x + 16) + 3

f(x) = 2x² - 16x + 32 + 3

f(x) = 2x² - 16x + 35

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Answer:

what is the condition of loss ?1)sp>mp 2)CP>sp 3) sp>CP 4)mp>spThe UN has 4 main purposesTo keep peace throughout the world;To develop friendly relations among nations;To help nations work together to improve the lives of poor people, to conquer hunger, disease and illiteracy, and to encourage respect for each other’s rights and freedoms;To be a centre for harmonizing the actions of nations to achieve these goals

Principles of United Nations

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These principles include the equality and self-determination of nations, respect of human rights and fundamental freedoms and the obligation of member countries to obey the Charter, to cooperate with the UN Security Council and to use peaceful means to resolve conflicts.

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A word where two vowels together blend their sound is a vowelrahim was getting his house build. He shared the design with his friend Anas. Anas pointed out that there were no ventilators in his house. What is your opinion Are the ventilators important? Why? What quality of Anas is evident in this case?

The monthly payment is  $86.55. The result is obtained by using the formula for simple interest.

The simple interest of an amount of money can be counted by the following formula.

I = P × r × t

Where

A motocross company offers a loan to buy an ATV for $4,000. Loan Offer 9.3% Simple Interest.

If it is for 6 years, find the monthly payment!

We have

It is not mentioned that the simple interest apply per year or per month. We assume the simple interest is per year. It will be

I = P × r × t

I = $4,000 × 9.3% × 6

I = $2,232

The total money to be paid will be

A = P + I

A = $4,000 + $2,232

A = $6,232

The monthly payment is

MP = A/t

MP = $6,232/(6 × 12)

MP = $6,232/72

MP = $86.55

Hence, the person who borrows for $4,000 to buy an ATV should pay $86.55 each month for 6 years.

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Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

Answer:

D.

Step-by-step explanation:

All other equations have x or y to the power of one so they are linear. D. has x or y to the power of two, so it's not linear. Quadratics and any variable to the power of 2 and above is not linear (numbers on their own are also always linear, so ignore any powers on them)

To solve this problem, we need to use combination which is statistical tool to determine the number of ways an event may occur. The combination to select a 5 a side team from 12 students is 792.

This a mathematical technique that is used to determine the number of possible arrangements in a collection of items where the way they're arranged does not matter.

Data;

The combination for this would be

\(C = ^1^2C_5 = 792\)

The combination to select a 5 a side team from 12 students is 792.

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Answer:

5 won 4 games last year . This is the best prediction based on the lime fit

Answer:

Because, they don't know the number of games they have lose.

Please mark me as the brainliest.

The value of k is 3.To find the equation of the tangent line to the curve y = (kx + 8)/k + x at x = -2, we first need to find the slope of the tangent line.

We can do this by taking the derivative of y with respect to x and then evaluating it at x = -2.

y = (kx + 8)/k + x

dy/dx = k/(k + x) - (kx + 8)/(k + x)^2

Substituting x = -2 into this expression gives us:

dy/dx = (k^2 - 8)/(k^2 - 4k + 4)

Since we know that the equation of the tangent line is y = x + 4, we can equate the slope of this line (which is 1) to dy/dx and solve for k:

1 = (k^2 - 8)/(k^2 - 4k + 4)

k^2 - 4k + 4 = k^2 - 8

4k = 12

k = 3

Therefore, the value of k is 3.

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The value of x is 7.82

Following these procedures will help us use proportions to solve challenges in the real world:

1. Set up two ratios comparing the identical quantities using the information from the problem.

2. Create a proportion by setting the ratios equal.

3. To find the proportional unknown, use cross multiplication.

\(AB/ AD = TS/ UT\)

\(7/ 14.8= 3.7/ x\)

On cross multiplying we get

7x= 54.76

x= 7.822

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The equation of the linear function represented by the table in slope intercept form is y = -4x + 1

The equation of a linear function can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, let's find the slope using (1, -3)(2, -7)

m = - 7 + 3 / 2 - 1

slope  = m = - 4 / 1

m = - 4

Let's find the y-intercept using (1, -3)

y = -4x + b

-3  = -4(1) + b

b = -3 + 4

b = 1

Hence, the equation of the linear function is y = -4x + 1.

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After answering the provided question, we can conclude that As a result, equation if another student achieved 100%, the mean score would rise by 0.35%.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9". The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilized in many different areas of mathematics, such as algebra, calculus, and geometry.

You can use the following formula to compute the new mean score:

(Old Sum of Scores + New Score) / (Old Number of Scores + 1) = New Mean

Where:

Old Score Sum = Mean x Number of Scores

Number of old scores = 25 (the original number of students)

The new score is 100.

Then, compute the previous score sum:

Old Score Sum = Mean x Number of Scores = 0.82 x 25 = 20.5

New Total Scores = Old Total Scores + New Score = 20.5 + 100 = 120.5

Finally, compute the new mean score as follows:

New Mean = New Score Sum / (Old Score Sum + 1) = 120.5 / 26 = 4.6346 or 46.35% (rounded to two decimal places)

As a result, if another student achieved 100%, the mean score would rise by 0.35%.

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The answer to part a) is that next year, in 2023, NCSSM will use approximately 55,485 sheets of paper. In part b), total of approximately 363,353 sheets of paper will be used from 2018 through the end of 2030.


a) To calculate the paper used in 2023, we start with the initial amount used in 2018, which is given as 60,000 sheets of paper. We then need to calculate the decrease in paper use over the years. The rate of decrease is given as 2.25%, which can be written as 0.0225 in decimal form. To find the paper used in 2023, we multiply the initial amount by (1 - rate of decrease)^5, since five years have passed from 2018 to 2023.

b) To calculate the total paper used from 2018 to 2030, we need to sum up the paper used for each year in that time period. We start with the initial amount used in 2018, which is 60,000 sheets. Then we calculate the paper used each year using the same formula as in part a), multiplying the initial amount by (1 - rate of decrease)^n, where n represents the number of years since 2018. We sum up these values for the years 2018 to 2030, which is a total of 13 years.

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The next three letters in the sequence J F M A M J J A are S, O, N.

To find the next three letters in the sequence J F M A M J J A, we need to identify the pattern or rule that governs the sequence. In this case, the sequence follows the pattern of the first letter of each month in the year.

The sequence starts with 'J' for January, followed by 'F' for February, 'M' for March, 'A' for April, 'M' for May, 'J' for June, 'J' for July, and 'A' for August. The pattern repeats itself every 12 months.

Therefore, the next three letters in the sequence would be 'S' for September, 'O' for October, and 'N' for November.

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The next three letters in the sequence "J F M A M J J A" are "S O N", indicating the months of September, October, and November.

The given sequence "J F M A M J J A" represents the first letters of the months in a year, starting from January (J) and ending with August (A). To find the next three letters in the sequence, we need to continue the pattern by considering the remaining months.

The next month after August is September, so the next letter in the sequence is "S". After September comes October, represented by the letter "O". Finally, the month following October is November, which can be represented by the letter "N".

Therefore, the next three letters in the sequence "J F M A M J J A" are "S O N", indicating the months of September, October, and November.

It is important to note that the given sequence follows the pattern of the months in the Gregorian calendar. However, different cultures and calendars may have different sequences or names for the months.

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A variable is a named memory location whose value can vary. It is a fundamental concept in computer programming as it allows programmers to store and manipulate data in their programs.

Variables are typically assigned a data type, such as integers, strings, or booleans, which determines the kind of data that can be stored in the variable. Variables can be used to store input from the user, perform calculations, and store results. They can also be used to control the flow of a program through conditional statements and loops. Overall, variables are an essential building block for programming and allow for the creation of dynamic and responsive programs.

A variable is a named memory location whose value can vary. In programming, variables are used to store and manipulate data, such as numbers, text, or other information. When a variable is declared, the computer reserves a specific portion of memory to store its value. Throughout the execution of a program, the value of a variable can be changed or updated as needed. This allows programmers to write flexible and dynamic code, making it easier to adapt to different scenarios and user inputs. Variables are essential in programming and are used in nearly every type of application or system.

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Answer:

Saleh is x years old. And 10 years ago he was 100 years old.

Suha is x years old. Saleh is 10 years younger than Suha. Saleh is 100 years old.

The 99% confidence interval for the proportion of all American youngsters who are seriously overweight is approximately 0.169 to 0.191.

A confidence interval for the proportion of all American youngsters who are seriously overweight, we can use the following formula:

Confidence Interval = Sample Proportion ± Margin of Error

Sample Size (n) = 4707

Sample Proportion (p (cap)) = 18% = 0.18

Confidence Level = 99%

First, we need to calculate the margin of error (ME). The formula for the margin of error is:

Margin of Error (ME) = Critical Value × Standard Error

The critical value depends on the desired confidence level. For a 99% confidence level, the critical value can be obtained from a standard normal distribution table or a statistical software. In this case, the critical value is approximately 2.576.

The standard error (SE) is calculated as

Standard Error (SE) = √((p (cap) × (1 - p (cap))) / n)

Now, let's calculate the margin of error and the confidence interval

Standard Error (SE) = √((0.18 × (1 - 0.18)) / 4707)

Margin of Error (ME) = 2.576 × SE

Confidence Interval = Sample Proportion ± Margin of Error

Calculating the values

SE ≈ 0.00429

ME ≈ 2.576 × 0.00429 ≈ 0.01103

Lower bound = Sample Proportion - ME Lower bound

= 0.18 - 0.01103

= 0.169

Upper bound = Sample Proportion + ME Upper bound

= 0.18 + 0.01103

= 0.191

Rounding the results to three decimal places

Lower bound ≈ 0.169 Upper bound ≈ 0.191

Therefore, the 99% confidence interval for the proportion of all American youngsters who are seriously overweight is approximately 0.169 to 0.191.

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Answer:

To write a rational expression with denominator 6b that is equivalent to 1/3, we need to find a value to multiply both the numerator and denominator of 1/3 by that will result in a denominator of 6b.

We can start by writing 1/3 as a fraction with denominator 1:

1/3 = 1/3 * 1/1

Next, we can multiply both the numerator and denominator by 2b:

1/3 * 2b/2b = 2b/6

Simplifying the fraction 2b/6, we get:

2b/6 = b/3

Therefore, the rational expression with denominator 6b that is equivalent to 1/3 is b/3.

We have proven that no two events a and b can be independent unless either a or b is the whole sample space or the empty set below.

A sample space can be defined as the set of all possible outcomes of any experiment.

We are already aware that the outcomes of this die are going to be (1,2,3,..p). If we have a pair of proper events A, B which are independent, this would mean that = A∩B={∅}  (i)

This is a contradiction. So, now we suppose that = A∩B=C, for some proper event C (ii)

Using the values of (i) and (ii), we get -

= |C|p=P(A∩B)=P(A)P(B)=|A||B|p2.

= p|C|=|A||B|.

From this, we understand that neither A nor B are going to be full spaces and hence, no two events a and b are independent and 0<|A|<p and 0<|B|<p. Since |C| is also going to be less than 0 and p is prime, p divides either |A| or |B|.  if p was not prime (say, p=4), then you would only need the factors of p to divide either |A|,|B|, so, it becomes necessary for p to be a prime number. Hence, proved.

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Answer:

The unit price for a coffee mug is $0.55.

Step-by-step explanation:

The unit price is simply just the price per unit.

We have a 4-pack of coffee mugs that costs $2.20.

He have 4 units and the price per 4 units.

Lets evaluate the price per 1 unit.

\(\frac{2.20}{4} =\frac{x}{1}\)

Lets solve for \(x\).

Divide \(x\) by 1.

\(x=\frac{2.20}{4}\)

Divide 2.20 by 4.

\(x=0.55\)

Answer:

x²+15x+26

Step-by-step explanation:

zeros are x=-13, x=-2

x=-13 then x+13=0

x=-2 then x+2=0

(x+13) (x+2)

x²+15x+26

y=ax²+bx+c

On simplification of 100 ÷ 4 × 5, we get 125. Thus, the correct answer is A

For simplification, we follow the rule of BODMAS. This rule states that one solves the equation in the following order: Brackets, Exponents or Order, Division, Multiplication, Addition, and Subtraction in order to get the right answer.

According to this rule, we first solve the Division operation

=100 ÷ 4 × 5

=25 x 5

Then one has to solve the multiplication operation.

=25 x 5

=125

Therefore on simplification using the BODMAS rule of 100 ÷ 4 × 5, we get 125 as the result.

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Think about what the question is asking...  When does that cost reach 0?

\(f(x) =4500 -120x + 60x \\\)

Solve for when f(x) = 0

\(0 = 4500 - 60 x \\-4500 = -60x\\4500 = 60x \\4500/60 = x\\x = 75\)

The store breaks even when it sells 75 bikes.

Hope this helps!

:)

Answer:

5 nights

Step-by-step explanation:

39 divided by 3 = 13

so we divided 65 by 13 hence your answer 5 nights

Answer:

15+2i

Step-by-step explanation:

Hi there!

We are given the following expression:

(7-4i) + (8+6i)

And we want to write it as a complex number in standard form

Standard form is a+bi, where a is the real part of the number and bi is the imaginary part of the number.

We can open up the parentheses on the expression

7-4i+8+6i

Now combine the like terms (add 8 and 7 together, then add -4i and 6i together)

15+2i

The complex number is now in standard form

Hope this helps!